Effect of thermal radiation on MHD micropolar Carreau nanofluid with viscous dissipation, Joule heating, and internal heating

Document Type : Article

Authors

Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

Abstract

The heat and mass transfer of a magnetohydrodynamic micropolar Carreau nanofluid on a stretching sheet has been analyzed. An internal heating, thermal radiation and viscous dissipation effects are also incorporated. The system of the governing partial differential equations is converted into the ordinary differential equations by invoking the similarity transformation. The resulting ordinary differential equations are then solved by the well known shooting technique. The impact of pertinent physical parameters on the velocity, angular velocity, temperature and concentration profiles are analyzed graphically. The dimensionless velocity is enhanced for the Weissenberg number and the power law index while reverse situation is studied in the thermal and the concentration profile.

Keywords

Main Subjects


Refrences:
1.Abel, M.S., Tawade, J.V., and Nandeppanavar, M.M. MHD ow and heat transfer for the upper-convected Maxwell uid over a stretching sheet", Meccanica, 47(2), pp. 385-393 (2012).
2. Abbasbandy, S., Hayat, T., Alsaedi, A., and Rashidi, M.M. Numerical and analytical solutions for Falkner- Skan ow of MHD Oldroyd-B uid", International Journal of Numerical Methods for Heat and Fluid Flow, 24(2), pp. 390-401 (2014).
3. Jiao, C., Zheng, L., and Ma, L. MHD thermosolutal marangoni convection heat and mass transport of power law uid driven by temperature and concentration gradient", AIP Advances, 5(8), 087160-14 (2015).
4. Hsiao, K.L. To promote radiation electrical MHD activation energy thermal extrusion manufacturing system e_ciency by using Carreau-nanouid with parameters control method", Energy, 130, pp. 486-499 (2017). 5. Wakif, A., Boulahia, Z., and Sehaqui, R. Numerical analysis of the onset of longitudinal convective rolls in a porous medium saturated by an electrically conducting nanouid in the presence of an external magnetic _eld", Results in Physics, 7, pp. 2134-2152 (2017). 6. Kumar, R.V.M.S.S.K., Kumar, G.V., Raju, C.S.K., Shehzad, S.A., and Varma, S.V.K. Analysis of Arrhenius activation energy in magnetohydrodynamic Carreau uid ow through improved theory of heat di_usion and binary chemical reaction", Journal of Physics Communications, 2 (2018). 7. Atif, S.M., Hussain, S. and Sagheer, M. E_ect of thermal radiation and variable thermal conductivity on magnetohydrodynamics squeezed ow of Carreau uid over a sensor surface", Journal of Nanouid, 8, pp. 806-816 (2019). 8. Wakif, A., Boulahia, Z., Mishra, S.R., Rashidi, M.M., and Sehaqui, R. Inuence of a uniform transverse magnetic _eld on the thermo-hydrodynamic stability in water-based nanouids with metallic nanoparticles using the generalized Buongiornos mathematical model", The European Physical Journal Plus, 133, pp. 181-197 (2017). 9. Hussain, S. Finite element solution for MHD ow of nanouids with heat and mass transfer through a porous media with thermal radiation, viscous dissipation and chemical reaction e_ects", Advances in Applied Mathematics and Mechanics, 9(4), pp. 904-923 (2017). 10. Kwak, M. and Lkhagvasuren, B. Global wellposedness for Hall-MHD equations", Nonlinear Analysis, 174, pp. 104-117 (2018). 11. Rahbari, A., Abbasi, M., Rahimipetroudi, I., Sunden, B., Ganji, D.D., and Gholami, M. Heat transfer and MHD ow of non-Newtonian Maxwell uid through a parallel plate channel: analytical and numerical solution", Mechanical Sciences, 9, pp. 61-70 (2018). 12. Eringen, A.C. Theory of micropolar uids", International Journal of Mathematics and Mechanics, 16, pp. 1-18 (1966). 13. Eringen, A.C. Theory of thermomicrouids", Journal of Mathematical Analysis and Applications, 38(2), pp. 480-496 (1972). 14. Bilal, M., Hussain, S., and Sagheer, M. Boundary layer ow of magneto-micropolar nanouid ow with Hall and ion-slip e_ects using variable thermal di_usivity", Bulletin of the Polish Academy of Sciences, 65(3) (2017). 15. Ayano, M.S., Sikwila, S.T., and Shateyi, S. MHD mixed convection micropolar uid ow through a rectangular duct", Mathematical Problems in Engineering, 2018 (2018). 16. Roy, N. and Gorla, R. Unsteady MHD mixed convection ow of a micropolar uid over a vertical wedge", International Journal of Applied Mechanics and Engineering, 22(2) (2017). 17. Hsiao, K.L. Micropolar nanouid ow with MHD and viscous dissipation e_ects towards a stretching sheet with multimedia feature", International Journal of Heat and Mass Transfer, 112, pp. 983-990 (2017). 18. Soundalgekar, V.M. and Takhar, H.S. Flow of micropolar uid past a continuously moving plate", International Journal of Engineering Science, 21(8), pp. 961-965 (1983). 19. Mishra, S.R., Khan, I., Al-mdallal, Q.M., and Asifa, T. Free convective micropolar uid ow and heat transfer over a shrinking sheet with heat source", Case Studies in Thermal Engineering, 11, pp. 113-119 (2018). S.M. Atif et al./Scientia Iranica, Transactions F: Nanotechnology 26 (2019) 3875{3888 3887 20. El-Dabe, N.T., Ghaly, A.Y., Rizkallah, R.R., Ewis, K.M., and Al-Bareda, A.S. Numerical solution of MHD ow of micropolar uid with heat and mass transfer towards a stagnation point on a vertical plate", American Journal of Computational Mathematics, 5, pp. 158-174 (2015). 21. Atif, S.M., Hussain, S., and Sagheer, M. Magnetohydrodynamic strati_ed bioconvective ow of micropolar nanouid due to gyrotactic microorganisms", AIP Advances, 9, p. 025208 (2019). 22. Sheikholeslami, M., Ganji, D.D., Javed, M.Y., and Ellahi, R. E_ect of thermal radiation on magnetohydrodynamics nanouid ow and heat transfer by means of two phase model", Journal of Magnetism and Magnetic Materials, 374, pp. 36-43 (2015). 23. A_fy, A.A. The impacts of thermal radiation and viscous dissipation for the Falkner-Skan ow past a wedge in the presence of nanoparticles suspended in a viscous uid", Journal of Thermal Science and Technology, 12(2) (2017). 24. Hsiao, K.L. Combined electrical MHD heat transfer thermal extrusion system using Maxwell uid with radiative and viscous dissipation e_ects", Applied Thermal Engineering, 12(5), pp. 1281-1288 (2016). 25. Bilal, M., Sagheer, M., and Hussain, S. Three dimensional MHD upper-convected Maxwell nanouid ow with nonlinear radiative heat ux", Alexandria Engineering Journal, 57(3), pp. 1917-1925 (2017). 26. Atif, S.M., Hussain, S., and Sagheer, M. E_ect of viscous dissipation and Joule heating on MHD radiative tangent hyperbolic nanouid with convective and slip conditions", Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(4), pp. 189- 206 (2019). 27. Choi, S.U.S. and Eastman, J.A. Enhancing thermal conductivity of uids with nanoparticles", ASME Fluids Engineering, 231, pp. 99-105 (1995). 28. Sheikholeslami, M. and Rokni, H.B. Magnetic nanouid ow and convective heat transfer in a porous cavity considering Brownian motion e_ects", AIP Physics of Fluids, 30(1), 012003-13 (2018). 29. Oyelakin, I.S., Mondal, S., and Sibanda, P. Unsteady Casson nanouid ow over a stretching sheet with thermal radiation, convective and slip boundary conditions", Alexandria Engineering Journal, 55(2), pp. 1025-1035 (2016). 30. Hsiao, K.L. Stagnation electrical MHD nanouid mixed convection with slip boundary on a stretching sheet", Applied Thermal Engineering, 98(5), pp. 850- 861 (2016). 31. Palaniammal, S. and Saritha, K. Heat and mass transfer of a Casson nanouid ow over a porous surface with dissipation, radiation, and chemical reaction", IEEE Transactions on Nanotechnology, 16(6), pp. 909-918 (2017). 32. Madhua, M., Kishan, N., and Chamkha, A.J. Unsteady ow of a Maxwell nanouid over a stretching surface in the presence of magnetohydrodynamic and thermal radiation e_ects", Propulsion and Power Research, 6, pp. 31-40 (2017). 33. Ferdows, M., Khan, S., Alam, M., and A_fy, A. MHD boundary layer ow and heat transfer characteristics of a nanouid over a stretching sheet", Acta Univ. Sapientiae Mathematica, 9(1), pp. 140-161 (2017). 34. Vijayalaxmi, T. and Bandari, S. Stagnation point ow of MHD Eyring-powell nanouid uid over exponential stretching sheet with convective heat transfer", Journal of Nanouids, 6(3), pp. 447-456 (2017). 35. Atif, S.M., Hussain, S., and Sagheer, M. Heat and mass transfer analysis of time dependent tangent hyperbolic nanouid ow past a wedge", Physics Letters A, 283(11), pp. 1187-1198 (2019). 36. Garoosi, F., Hoseininejad, F., and Rashidi, M.M. Numerical study of natural convection heat transfer in a heat exchanger _lled with nanouids", Energy, 109, pp. 664-678 (2016). 37. Wakif, A., Boulahia, Z., and Sehaqui, R. Numerical study of the onset of convection in a Newtonian nanouid layer with spatially uniform and non uniform internal heating", Journal of Nanouids, 6(1), pp. 136- 148 (2017). 38. Fakour, M., Rahbari, A., Khodabandeh, E., and Ganji, D.D. Nanouid thin _lm ow and heat transfer over an unsteady stretching elastic sheet by LSM", Journal of Mechanical Science and Technology, 32(1), pp. 177- 183 (2018). 39. Wakif, A., Boulahia, Z., and Sehaqui, R. A semianalytical analysis of electro-thermohydrodynamic stability in dielectric nanouids using Buongiornos mathematical model together with more realistic boundary conditions", Results in Physics, 9, pp. 1438-1454 (2018). 40. Wakif, A., Boulahia, Z., Amine, A., Animasaun, I.L., Afridi, M.I., Qasimd, M., and Sehaqui, R. Magnetoconvection of Alumina - water nanouid within thin horizontal layers using the revised generalized Buongiorno's model", Frontiers in Heat and Mass Transfer, 10(3) (2019). 41. Sabeel, M., Hammad, M., Batool, S., and Kaneez, H. Investigation of MHD e_ects and heat transfer for the upper-convected Maxwell (UCM) micropolar uid with Joule heating and thermal radiation using a 3888 S.M. Atif et al./Scientia Iranica, Transactions F: Nanotechnology 26 (2019) 3875{3888 hyperbolic heat ux equation", The European Physical Journal Plus, 132(4), pp. 158-170 (2017). 42. Iqbal, Z., Mehmood, R., Azhar, E., and Mehmood, Z. Impact of inclined magnetic _eld on micropolar Casson uid using Keller box algorithm", The European Physical Journal Plus, 132, pp. 175-188 (2017). 43. Atif, S.M., Hussain, S., and Sagheer, M. Numerical study of MHD micropolar Carreau nanouid in the presence of induced magnetic _eld", AIP Advances, 8, p. 035219 (2018). 44. Na, T.Y., Computational Methods in Engineering Boundary Value Problems, 145, Academic Press (1979).
Volume 26, Issue 6 - Serial Number 6
Transactions on Nanotechnology (F)
November and December 2019
Pages 3875-3888
  • Receive Date: 24 August 2018
  • Revise Date: 15 June 2019
  • Accept Date: 02 September 2019